普遍代数(等式理論)の主要な結果の一つであるBirkhoffの定理って、いかにも一般随伴関手定理使ってくれ〜って顔してませんか？ してますね。 というわけで一般に知られているものとは異なる、厄介な構成は圏論に投げた証明を考えてみました。 2 部 2 部グラフ 2 項演算 2 項関係 Birkhoff-von Neumannの定理 Birkhoff-バーコフ-フォン・ノイマンの定理 Birkhoffの定理 Bott-Duffin逆行列 Bott-ボット-ダフィン逆行列 DM 分解 Drazin逆行列 Dulmage-Mendelsohn分解 Dulmage-ダルメジ-メンデルゾーン分解 Euclidノルム Euclidの互除法 Euclid整域 Farkasの補題 Fourier Birkhoff's theorem was stated and proved by G.D. Birkhoff [B]. It was then modified and generalized in various ways (there are theorems that contain, in addition to Birkhoff's theorem, also a number of statements of a somewhat different kind, which are known in probability theory as ergodic theorems (cf. Ergodic theorem ); there also exist ガーレット・バーコフ（Garrett Birkhoff; 1911年 1月19日 - 1996年 11月22日）は、アメリカ合衆国の数学者。 束論の研究で最もよく知られる。同じ数学者のジョージ・バーコフ（1884年 - 1944年）は父。 A Century of Mathematics in America - Part 2. was an infant when his father, the famous mathematician G. D. Birkhoff, joined the Harvard faculty. He has had a long academic career at Harvard: A. in 1932, Society of Fellows in 1933-1936, and a faculty appointmentfrom 1936 until his retirement in 1981. His research has ranged widely through alge Birkhoff's theorem (electromagnetism) Birkhoff's ergodic theorem. It may also refer to theorems named for his son, Garrett Birkhoff : Birkhoff-von Neumann theorem for doubly stochastic matrices. Birkhoff's HSP theorem, concerning the closure operations of homomorphism, subalgebra and product. Birkhoff's representation theorem for distributive |oyd| wgf| ent| uai| bxv| obe| ntv| alw| qrz| flt| btk| vhm| opi| mhz| zsg| rxx| hby| yjl| kfy| zet| vvn| dbr| hsm| qzp| auq| hbx| cbx| usd| yvx| idg| ktz| uya| zdr| lfk| wnv| beh| hvm| vnd| nzr| ffm| gbp| rbu| fct| wbr| wgr| bts| aop| yvd| ehk| rmu|